# Mathematics I (Math 1132) Durham College, Mathematics
Free • 0 lessons
• 0 quizzes
• 10 week duration
• ##### Measurements

An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

• ##### Fractions, Percentage, Ratios and Proportion

Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.

• ##### Geometry

This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.

## Mathematics I (Math 1132)

### Factor a Perfect Square Trinomial

In this unit’s final lesson, we’ll learn how to quickly factor general form quadratics that are considered “perfect square trinomials” (PST). In a PST, the first and last term of these trinomials are always perfect squares. If you don’t recognize the pattern of a PST, you could still factor the quadratic normally by trial-and-error or by decomposition. Therefore, remembering this technique isn’t technically required but if you do recognize the pattern, consider it a shortcut.

Examples of a perfect square trinomials are:

1. y = + 6x + 9
• Here, √x² = x and √9 = 3
• This factors into (x + 3
2. y = 4x² +28x + 49
• Here, √4x² = 2x and √49 = 7
• This factors into (2x + 7

Two more examples of factoring perfect square trinomials are shown in the video below.

Take-home message:

You can factor a perfect square trinomial as:

• a² + 2ab + b² = (a + b)²
• a² – 2ab + b² = (a – b)²